GCF of 126/473, 4416/578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 126/473, 4416/578 i.e 6/273394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 126/473, 4416/578.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 126/473,4416/578?
Given fractions are 126/473,4416/578
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 126/473,4416/578, numerators are 126,4416
Denominators are 473,578
The GCF of 126,4416 is 6 .
LCM of 473,578 is 273394.
The greatest common factor of 126/473,4416/578 = [GCF of 126,4416]/[LCM of 473,578]= 6/273394
Therefore, the GCF of 126/473,4416/578 is 6/273394.
To find the highest common factor of 126,4416, we have to find the factors of both numbers and list the highest common factor.
The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
The factors of 4416 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 138, 184, 192, 276, 368, 552, 736, 1104, 1472, 2208, 4416
The HCF of 126,4416 is 6.
Lets's calculate GCF of 126,4416
| 2 | 126, 4416 |
| 3 | 63, 2208 |
| 21, 736 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 126,4416 By Matching Biggest Common Factor Method
Now, list down the factors of 126
:1,2,3,6,7,9,14,18,21,42,63,126
Now, list down the factors of 4416
:1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,138,184,192,276,368,552,736,1104,1472,2208,4416
Greatest Common Factor
We found the factors 126,4416 . The biggest common factor number is the GCF number.
So the greatest common factor 126,4416 is 6.
Lets's calculate LCM of 473,578
Given numbers has no common factors except 1. So, there LCM is their product i.e 273394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/273394
Therefore, the GCF of Fractions 126/473,4416/578 is 6/273394
Least Common Multiple of 473,578 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 473,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,578) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(473,578) x common factors =1 x 1 = 1
LCM(473,578) = ( 473 × 578 ) / 1
LCM(473,578) = 273394 / 1
LCM(473,578) = 273394
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FAQs on GCF of Fractions of 126/473, 4416/578
1. What is the HCF of 126,4416?
The HCF of 126,4416 is 6
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 126/473, 4416/578?
Answer: GCF of Numerators as per given numbers 126/473, 4416/578 is
GCF of Numerators i.e. for 126,4416 is 6
LCM of denominators i.e. for 473,578 is 273394.
Thus, GCF of Fractions is 6/273394.Finally, GCF of Fractions for 126/473, 4416/578 is 6/273394.